PS#$1-$B $-$ Structural Dynamics $($Forced Vibration$)$

III. For the structural frame in Problem II with same properties, analyze using numerical integration the

response $($displacement$,$ velocity and acceleration$)$ with respect to time in intervals of $0\mathrm{.}02sec,$ if an

impact load $F(t)$ as shown is applied to the right. Show spreadsheet results. Summarize equations used.

Plot the responses for $x(t),v(t),a(t)$ from $t=0s$ to $t=1\mathrm{.}0s$ and identify the maximum displacement,

velocity and acceleration in the graph. From the maximum displacement, compute the resulting shear

force and bending moment in the columns.